Heat takes time

Two rectangular blocks, having identical dimensions can be arranged either in configuration 1 or configuration 2 as shown in the figure. one of the blocks has thermal conductivity \(\kappa\) and other has \(2\kappa\). the temperature difference between the ends along the \(x\)-axis is same in both the configurations.

It takes 9 seconds to transport a certain amount of heat from the hot end to the cold end in configuration 1. time to transport the same amount of heat in the configuration 2 is ?

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